Question

From a circular metal sheet of radius 9 cm a circle of radius 4 cm is removed find the area of the remaining sheet pi =3.14

Answer 1

Answer:

The area of remaining sheet is $204.1$ $cm^{2}$.

Step-by-step explanation:

Given : Radius of circular metal sheet = $9$ cm

          Radius of circle = $4$ cm

          The value of $\pi$ = $3.14$

To find : The area of the remaining sheet after a circle of radius $4$ cm is removed from circular metal sheet.

Solution :

• It is given that the radius of circular metal sheet = $9$ cm

          Radius of circle = $4$ cm

          The value of $\pi$ = $3.14$

• We have to find the area of the remaining sheet after a circle of radius $4$ cm is removed from circular metal sheet.
• To find the remaining area, we have to first calculate the areas of both the circles.
• Now,

     Area of circular metal sheet = $\pi r^{2}$

                                              = $3.14*9^{2}$

                                              = $3.14*81$

                                              = $254.34$ $cm^{2}$

   Area of inner circle = $\pi r^{2}$

                               = $3.14*4^{2}$

                               = $3.14*16$

                               = $50.24$ $cm^{2}$

• ∴ The area of the sheet after removing inner circle = $254.34$ - $50.24$

                                                                         = $204.1$ $cm^{2}$

• ∴  The area of remaining sheet is $204.1$ $cm^{2}$.